The Boltzmann equation with non-isothermal Maxwell boundary conditions

R Medina

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arXiv · 2604.13572

The Boltzmann equation with non-isothermal Maxwell boundary conditions

R Medina

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Abstract

In this paper, we study the Boltzmann equation in a close to the hydrodynamic limit regime, set in bounded spatial domains with non-isothermal Maxwell boundary conditions. We establish the existence, uniqueness, and asymptotic stability of a non-equilibrium steady state under suitable smallness assumption on the temperature fluctuations at the boundary.

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R Medina. 2026-04-15. The Boltzmann equation with non-isothermal Maxwell boundary conditions. https://arxiv.org/abs/2604.13572

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